34351344144 has 120 divisors (see below), whose sum is σ = 103682785752. Its totient is φ = 10554163200.

The previous prime is 34351344133. The next prime is 34351344149. The reversal of 34351344144 is 44144315343.

It can be written as a sum of positive squares in 4 ways, for example, as 14045094144 + 20306250000 = 118512^2 + 142500^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34351344099 and 34351344108.

It is not an unprimeable number, because it can be changed into a prime (34351344149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299184 + ... + 1325360.

Almost surely, 2^34351344144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34351344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51841392876).

34351344144 is an abundant number, since it is smaller than the sum of its proper divisors (69331441608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34351344144 is a wasteful number, since it uses less digits than its factorization.

34351344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26905 (or 26896 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 34351344144 its reverse (44144315343), we get a palindrome (78495659487).

The spelling of 34351344144 in words is "thirty-four billion, three hundred fifty-one million, three hundred forty-four thousand, one hundred forty-four".